For the second game running, goals from Holman and Wright fired the Robins to a comfortable 2-0 win, equalling Cheltenham's all time Conference games unbeaten record.
The league leaders were in search of moving four points clear at the top and Wright showed early intentions with a shot on the turn just wide.
A corner to Cheltenham resulted in a goalmouth scramble with Burgess poking wide, before Kidderminster's first chance of the game was hit wide by Williams in the 11th minute, and there was little between the two teams in the opening proceedings.
James Dayton showed a great burst of pace to beat his man and put in great ball for Holman but the striker's shot was wide, as Cheltenham started to settle into the game.
Cheltenham's best opportunity of the first half fell to Daniel Parslow, but his header was straight at Snedker in the opposition goal.
The game sprung into life minutes after the restart. James Rowe's corner was handled in the box and Wright, who missed his last spot kick, stepped up and duly converted. Just six minutes later the lead was doubled, the influential Rowe crossed from the left and Holman's flicked header found the bottom corner.
The second half was largely like the first, a scrappy game on a pitch that didn't suit Cheltenam's usual slick passing style. There were no chances of note although Kidderminster began to threaten.
Sensing tired legs, Johnson made a triple substitution with Waters, Munns and Cranston entering the fray as the Robins looked to secure successive home victories.
Phillips, barely troubled all game, had to save well from Harry White's long range effort as Kidderminster looked to get back into the game.
The gap at the top was widened to four points, and the Robins travel to Tranmere on Saturday aiming to make
Cheltenham Town – Phillips; Barthram Burgess Parslow McLennan; Dayton (Cranston 84) Hall (Munns 84) Storer Rowe (Waters 83); Wright Holman
Kiddermister Harriers – Snedker Hodgkiss Maxwell Langmead Gnahoua White Williams Fane Francis-Angol (Garnett 70') Lowe Whitfield Lowe Whitfield
Attendance - 3387 (419 away)